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Finding the Fourth Proportional to 12,896.16, 19,256.91 and 10,233.77

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Solution

The fourth proportional to 12,896.16, 19,256.91 and 10,233.77 is: 15,281.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.16 : 19,256.91 = 10,233.77 : x
  2. Step 2: Convert to fraction form
    12,896.16/19,256.91 = 10,233.77/x
  3. Step 3: Cross multiply
    12,896.16x = 19,256.91 × 10,233.77
  4. Step 4: Simplify right side
    12,896.16x = 197,070,691.57
  5. Step 5: Solve for x
    x = 197,070,691.57/12,896.16
  6. Step 6: Final answer
    x = 15,281.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.